55
47.70%
Wins 47.23%, ties 0.94%
T9s
52.30%
Wins 51.83%, ties 0.94%
55 against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 47.227 | 0.939 | 51.834 | 47.696 |
| T9s | 51.834 | 0.939 | 47.227 | 52.304 |
The matchup pits a pocket pair against a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with T9s a little ahead. Ties are part of the picture: 0.94% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts 55 at 27 and T9s at 64 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 19,408,000 | 386,000 | 21,301,000 |
| T9s | 21,301,000 | 386,000 | 19,408,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 55 | 0.912 | 2.117 | 1.929 | 1.097 |
| T9s | 1.097 | 1.929 | 2.117 | 0.912 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Two-tone flops are the best for T9s (54.13%); low rainbow flops (nine high or lower) are the worst (45.91%). 55 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails T9s when every flop is counted.
| Flop | Share of flops | 55 wins | Ties | T9s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 45.941 | 0.542 | 53.517 | 46.212 |
| Rainbow, nine or lower | 5.689 | 53.811 | 0.562 | 45.627 | 54.092 |
| Two-tone | 46.545 | 45.611 | 0.522 | 53.867 | 45.872 |
| Monotone | 5.212 | 46.816 | 2.783 | 50.401 | 48.207 |
| Paired | 17.334 | 51.400 | 2.205 | 46.395 | 52.502 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Relative to a random opponent, 55 changes by -12.63 points (baseline 60.33%) and T9s by -1.73 points (baseline 54.03%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 47.696 | 60.325 | -12.629 | 0.79065 |
| 55, rainbow, ten or higher | 46.212 | 60.325 | -14.113 | 0.76605 |
| 55, rainbow, nine or lower | 54.092 | 60.325 | -6.233 | 0.89668 |
| 55, two-tone | 45.872 | 60.325 | -14.453 | 0.76041 |
| 55, monotone | 48.207 | 60.325 | -12.118 | 0.79912 |
| 55, paired | 52.502 | 60.325 | -7.823 | 0.87032 |
| T9s, all flops | 52.304 | 54.028 | -1.724 | 0.96809 |
| T9s, rainbow, ten or higher | 53.788 | 54.028 | -0.240 | 0.99556 |
| T9s, rainbow, nine or lower | 45.908 | 54.028 | -8.120 | 0.84971 |
| T9s, two-tone | 54.128 | 54.028 | +0.100 | 1.00185 |
| T9s, monotone | 51.793 | 54.028 | -2.235 | 0.95863 |
| T9s, paired | 47.498 | 54.028 | -6.530 | 0.87914 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (T9s at 52.17%) and 12 do not (52.44%). T9s does better with no shared suit, by 0.27 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | T9s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.340 | 0.980 | 51.680 | 47.830 |
| No shared suit | 12 | 50.00 | 47.114 | 0.898 | 51.988 | 47.563 |
How often this matchup comes up
Counting specific cards, 55 against T9s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says T9s gets $104.60 of it on average and 55 gets $95.40.
Think in thousands: about 518 of 1,000 go to T9s, about 472 go to 55, and about 10 are chopped.
The same matchup from the other side
Read it from the other side: T9s against 55 is the same matchup with the numbers swapped, so T9s holds 52.30% and 55 holds 47.70%. That address sends you back to this page.
Keep exploring
The calculator link fills in 5s5h against Td9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 24 specific 55 against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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